Red Book of Varieties and Schemes

GPTKB entity

Statements (54)
Predicate Object
gptkbp:instance_of gptkb:Publishing
gptkbp:author gptkb:David_Mumford
gptkbp:available_in digital format
gptkbp:contains theory of schemes
classification of algebraic varieties
applications in algebraic geometry
applications in number theory
applications in topology
examples of varieties
gptkbp:field algebraic geometry
gptkbp:first_edition first edition
gptkbp:first_published gptkb:1976
https://www.w3.org/2000/01/rdf-schema#label Red Book of Varieties and Schemes
gptkbp:influenced theory of algebraic groups
intersection theory
the study of moduli spaces
modern algebraic geometry
birational geometry
theory of sheaves
theory of vector bundles
theory of algebraic cycles
theory of algebraic stacks
theory of algebraic varieties over finite fields
theory of algebraic varieties over function fields
theory of algebraic varieties over global fields
theory of algebraic varieties over local fields
theory of algebraic varieties over number fields
theory of algebraic varieties over algebraically closed fields
the development of schemes
theory of coherent sheaves
theory of divisors
theory of morphisms
theory of schemes over a field
theory of schemes over a ring
gptkbp:influenced_by Grothendieck's work
gptkbp:is_cited_in many mathematical papers
gptkbp:isbn 978-3-540-62040-6
gptkbp:language English
gptkbp:notable_contributor gptkb:László_Lovász
gptkb:C._P._Ramanujam
gptkb:G._M._Greuel
gptkb:M._A._Teicher
gptkb:M._A._Shafarevich
gptkbp:page_count 400
gptkbp:published_by gptkb:Springer
gptkbp:related_to gptkb:Mumford's_red_book
gptkbp:subject varieties
schemes
gptkbp:translated_into gptkb:French
gptkb:Japanese
gptkb:German
gptkbp:used_in graduate courses
gptkbp:bfsParent gptkb:David_Mumford
gptkbp:bfsLayer 4